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Finding the Fourth Proportional to 4,135, 6,202.52 and 2,597.08

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Solution

The fourth proportional to 4,135, 6,202.52 and 2,597.08 is: 3,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135 : 6,202.52 = 2,597.08 : x
  2. Step 2: Convert to fraction form
    4,135/6,202.52 = 2,597.08/x
  3. Step 3: Cross multiply
    4,135x = 6,202.52 × 2,597.08
  4. Step 4: Simplify right side
    4,135x = 16,108,440.64
  5. Step 5: Solve for x
    x = 16,108,440.64/4,135
  6. Step 6: Final answer
    x = 3,895.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.